When you can't work out an answer, is it more fun a) to wrestle with the puzzle over many sleepless nights and only look up the answer as a final resort, or b) to check on the answer without giving the problem more than fleeting consideration? In my opinion a) is far more enjoyable, but I admit I can't stop you if you prefer approach b). All I can say is that the non-thinking option is for mental lightweights. (In my humble opinion.)